--%>

Probability problem

A) What is the probability of getting the following sequence with a fair die (as in dice):

B) What is the probability of getting the same sequence with a die that is biased in the following way:

p(1)=p(2)=p(3)=p(4)=15%; p(5)=20%; p(6)=20%

C) For the sequence TTGSSGCG,where S=G or C,calculate the probability of occurrence given

p(G)=p(C)=30% and p(A)=p(T)=20%.

D) In a 1 megabase (1 million bases) stretch of DNA,how often do you expect to observe this TTGSSGCG randomly? (use frequencies as listed above) Just look at one strand of DNA.

   Related Questions in Advanced Statistics

  • Q : Discrete and continuous data

    Distinguish between discrete and continuous data in brief.

  • Q : Probability of signaling Quality

    Quality control: when the output of a production process is stable at an acceptable standard, it is said to be "in control?. Suppose that a production process has been in control for some time and that the proportion of defectives has been 0.5. as a means of monitorin

  • Q : Problem on layout A manufacturing

    A manufacturing facility consists of five departments, 1, 2, 3, 4, and 5. It produces four components having manufacturing product routings and production volumes indicated below.   1. Generate the from-to matrix and the interaction matrix. Use a

  • Q : Use the law of iterated expectation to

    Suppose we have a stick of length L. We break it once at some point X _

    Q : Problem on utility funtion probability

    Suppose that your utility, U, is a function only of wealth, Y, and that U(Y) is as drawn below. In this graph, note that U(Y) increases linearly between points a and b.  Suppose further that you do not know whether or not you

  • Q : Pearsons correlation coefficient The

    The table below illustrates the relationship between two variable X and Y. A

  • Q : How you would use randomization in

    The design of instrument controls affects how easily people can use them. An investigator used 25 students who were right-handed to determine whether right-handed subjects preferred right-handed threaded knobs. He had two machines that differed only in that one had a

  • Q : Problem on Chebyshevs theorem 1. Prove

    1. Prove that the law of iterated expectations for continuous random variables.2. Prove that the bounds in Chebyshev's theorem cannot be improved upon. I.e., provide a distribution which satisfies the bounds exactly for k ≥1, show that it satisfies the

  • Q : Probability problem A) What is the

    A) What is the probability of getting the following sequence with a fair die (as in dice):B) What is the probability of getting the same sequence with a die that is biased in the following way: p(1)=p(2)=p(3)=p(4)=15%;

  • Q : Find the cumulative distribution

    You must use the pre-formatted cover sheet when you hand in the assignment. Out full detailed solutions. Sloppy work will naturally receive a lower score. 1. Suppose at each step, a particle moving on sites labelled by integer has three choices: move one site to the right with pro